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Finding the Fourth Proportional to 745.29, 1,028.92 and 524.88

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Solution

The fourth proportional to 745.29, 1,028.92 and 524.88 is: 724.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    745.29 : 1,028.92 = 524.88 : x
  2. Step 2: Convert to fraction form
    745.29/1,028.92 = 524.88/x
  3. Step 3: Cross multiply
    745.29x = 1,028.92 × 524.88
  4. Step 4: Simplify right side
    745.29x = 540,056.99
  5. Step 5: Solve for x
    x = 540,056.99/745.29
  6. Step 6: Final answer
    x = 724.63

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.